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Finding the Fourth Proportional to 328.29, 452.91 and 203.82

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Solution

The fourth proportional to 328.29, 452.91 and 203.82 is: 281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.29 : 452.91 = 203.82 : x
  2. Step 2: Convert to fraction form
    328.29/452.91 = 203.82/x
  3. Step 3: Cross multiply
    328.29x = 452.91 × 203.82
  4. Step 4: Simplify right side
    328.29x = 92,312.12
  5. Step 5: Solve for x
    x = 92,312.12/328.29
  6. Step 6: Final answer
    x = 281.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.